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Finding the Fourth Proportional to 4,682.07, 6,461.24 and 2,586.20

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Solution

The fourth proportional to 4,682.07, 6,461.24 and 2,586.20 is: 3,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.07 : 6,461.24 = 2,586.20 : x
  2. Step 2: Convert to fraction form
    4,682.07/6,461.24 = 2,586.20/x
  3. Step 3: Cross multiply
    4,682.07x = 6,461.24 × 2,586.20
  4. Step 4: Simplify right side
    4,682.07x = 16,710,013.65
  5. Step 5: Solve for x
    x = 16,710,013.65/4,682.07
  6. Step 6: Final answer
    x = 3,568.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.